Controlling Program Extraction in Light Logics

Marc Lasson (1)

1 LIP - Laboratoire de l'Informatique du Parallélisme

We present two refinements, based on program extraction in elementary affine logic and light affine logic, of Krivine & Leivant's system FA2. This system allows higher-order equations to specify the computational content of extracted programs. The user can then prove a generic formula, using these equations as axioms. The system guarantees that the extracted program satisfies the specification and is computable in elementary time (for elementary affine logic) or polynomial time (for light affine logic). Finally, we show that both systems are complete with respect to elementary time and polynomial time functions.

Mots clés: Extraction; Implicit Complexity; Elementary Linear Logic; Light Linear Logic

Domaines: Logique en informatique [cs.LO]

Marc Lasson. Controlling Program Extraction in Light Logics. Typed Lambda Calculi and Applications 10th International Conference, TLCA 2011, Novi Sad, Serbia, June 1-3, 2011., Jun 2011, Novi Sad, Serbia. pp.123-137, ⟨10.1007/978-3-642-21691-6⟩. ⟨hal-00605654⟩